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# If J#0, what is the value of J ?

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Kudos [?]: 19 [0], given: 10

If J#0, what is the value of J ? [#permalink]  23 Jul 2012, 14:39
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:48) correct 30% (00:53) wrong based on 23 sessions
If $$J\neq{0}$$, what is the value of J ?

(1) |J| = J^(-1)

(2) J^J = 1

[Reveal] Spoiler:
I was working in this problem

What is the value of integer J?

1. |J| = J^{-1}
2. J^J = 1

The answer is D, but I thought B could have two values, 0 and 1.
[Reveal] Spoiler: OA

Last edited by Bunuel on 29 Jun 2014, 03:32, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
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Kudos [?]: 209 [1] , given: 2

Re: If J#0, what is the value of J ? [#permalink]  23 Jul 2012, 16:16
1
KUDOS
Expert's post
0^0 is equal to 1 in most mathematical conventions, but not all. Therefore, you can expect that GMAT not to test the subject--it won't show up, and you won't be expected to know it!
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Kudos [?]: 361 [0], given: 47

Re: If J#0, what is the value of J ? [#permalink]  02 Aug 2012, 02:06
GMAT never touches a topic which is not widely accepted. So, I dont think so that value of 0^0 will be the deciding factor in any GMAT Quant question.

Meanwhile, I made a search for the same in internet. Interesting read:

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Kudos [?]: 45043 [0], given: 6638

Re: If J#0, what is the value of J ? [#permalink]  09 Aug 2012, 03:34
Expert's post
ashish8 wrote:
I was working in this problem what-is-the-value-of-integer-j-1-j-j-1-2-j-j-81006.html. The answer is D, but I thought B could have two values, 0 and 1.

If $$J\neq{0}$$, what is the value of $$J$$ ?

(1) $$|J| = J^{-1}$$
(2) $$J^J = 1$$

Two reasons why should the stem state that $$J\neq{0}$$:
For statement (1) if $$J=0$$ then we'll have $$0^{-1}=\frac{1}{0}=undefined$$. Remember you can't raise zero to a negative power.
For statement (2) if $$J=0$$ then we'll have $$0^0$$. 0^0, in some sources equals to 1, some mathematicians say it's undefined. Anyway you won't need this for the GMAT because the case of 0^0 is not tested on the GMAT. So on the GMAT the possibility of 0^0 is always ruled out.

Also notice that saying in the stem that J is an integer is a redundant.

AS FOR THE SOLUTION:
If $$J\neq{0}$$, what is the value of $$J$$ ?

(1) $$|J| = J^{-1}$$ --> $$|J|*J=1$$ --> $$J=1$$ (here J can no way be a negative number, since in this case we would have $$|J|*J=positive*negative=negative\neq{1}$$). Sufficient.

(2) $$J^J = 1$$ --> again only one solution: $$J=1$$. Sufficient.

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Kudos [?]: 181 [0], given: 12

Re: If J#0, what is the value of J ? [#permalink]  09 Aug 2012, 07:28
Thank you Bunuel....
Re: If J#0, what is the value of J ?   [#permalink] 09 Aug 2012, 07:28
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